CYCLOID Exploration
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The CYCLOID is traced by a point on the circumference of a circle which ROLLS without slipping over a straight line.
CYCLOID animation
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1. What happens when the radius of the circle increases?
2. Does the shape of the cycloid change, or does it simply become bigger?
3. What happens if the tracing point begins somewhere other than the bottom of the wheel?
4. How many arches are produced after two complete rotations?
5. Where does the curve change direction?